Are phone calls equally likely to occur any day of the week? Theday of the week for each of 392 randomly selected phone calls wasobserved. The results are displayed in the table below. Use an ?? =0.10 significance level.

1. Complete the rest of the table by filling in the expectedfrequencies:

   Frequencies of Phone Calls for Each Day of theWeek

   Outcome	Frequency	Expected Frequency
   Sunday	55
   Monday	54
   Tuesday	64
   Wednesday	50
   Thursday	58
   Friday	57
   Saturday	54

2. What is the correct statistical test to use?
   Select an answer Paired t-test Independence Goodness-of-FitHomogeneity  
3. What are the null and alternative hypotheses?
   H0:H0:
   • Phone calls and days of the week are independent.
   • The distribution of phone calls is uniform over the days of theweek.
   • Phone calls and days of the week are dependent.
   • The distribution of phone calls is not uniform over the days ofthe week.
   
   
   
   H1:H1:
   • The distribution of phone calls is uniform over the days of theweek.
   • Phone calls and days of the week are dependent.
   • The distribution of phone calls is not uniform over the days ofthe week.
   • Phone calls and days of the week are independent.
4. The degrees of freedom =  
   
5. The test-statistic for this data =  (Please show youranswer to three decimal places.)
   
6. The p-value for this sample = (Please show your answer to fourdecimal places.)  
   
7. The p-value is Select an answer greater than less than (orequal to)  ??  
   
8. Based on this, we should Select an answer fail to reject thenull reject the null accept the null  
9. Thus, the final conclusion is...
   • There is sufficient evidence to conclude that phone calls anddays of the week are dependent.
   • There is insufficient evidence to conclude that phone calls anddays of the week are dependent.
   • There is insufficient evidence to conclude that thedistribution of phone calls is not uniform over the days of theweek.
   • There is sufficient evidence to conclude that the distributionof phone calls is not uniform over the days of the week.
   • There is sufficient evidence to conclude that the distributionof phone calls is uniform over the days of the week.

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